Li, Buyang; Lin, Yanping; Ma, Shu; Rao, Qiqi An exponential spectral method using VP means for semilinear subdiffusion equations with rough data. (English) Zbl 07754853 SIAM J. Numer. Anal. 61, No. 5, 2305-2326 (2023). MSC: 65M70 65M06 65N35 65D30 65D32 65M12 65M15 35K55 33C45 26A33 35R11 PDFBibTeX XMLCite \textit{B. Li} et al., SIAM J. Numer. Anal. 61, No. 5, 2305--2326 (2023; Zbl 07754853) Full Text: DOI
Bessemoulin-Chatard, Marianne; Filbet, Francis On the convergence of discontinuous Galerkin/Hermite spectral methods for the Vlasov-Poisson system. (English) Zbl 1519.65043 SIAM J. Numer. Anal. 61, No. 4, 1664-1688 (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65M70 65N35 65N12 65N15 82C40 82D10 35A01 35A02 35R09 33C45 35Q60 35Q83 PDFBibTeX XMLCite \textit{M. Bessemoulin-Chatard} and \textit{F. Filbet}, SIAM J. Numer. Anal. 61, No. 4, 1664--1688 (2023; Zbl 1519.65043) Full Text: DOI arXiv
Kazashi, Yoshihito; Suzuki, Yuya; Goda, Takashi Suboptimality of Gauss-Hermite quadrature and optimality of the trapezoidal rule for functions with finite smoothness. (English) Zbl 1516.65018 SIAM J. Numer. Anal. 61, No. 3, 1426-1448 (2023). MSC: 65D30 65D32 65Y20 33C45 PDFBibTeX XMLCite \textit{Y. Kazashi} et al., SIAM J. Numer. Anal. 61, No. 3, 1426--1448 (2023; Zbl 1516.65018) Full Text: DOI arXiv
Chen, Sheng; Shen, Jie Log orthogonal functions in semi-infinite intervals: approximation results and applications. (English) Zbl 1512.65278 SIAM J. Numer. Anal. 61, No. 1, 110-134 (2023). MSC: 65N35 65E05 65M70 41A05 41A10 41A25 33C45 PDFBibTeX XMLCite \textit{S. Chen} and \textit{J. Shen}, SIAM J. Numer. Anal. 61, No. 1, 110--134 (2023; Zbl 1512.65278) Full Text: DOI
Cao, Waixiang; Jia, Lueling; Zhang, Zhimin A \(C^1\) conforming Petrov-Galerkin method for convection-diffusion equations and superconvergence analysis over rectangular meshes. (English) Zbl 07714592 SIAM J. Numer. Anal. 60, No. 1, 274-311 (2022). MSC: 65N30 65D05 65N12 65N15 33C45 PDFBibTeX XMLCite \textit{W. Cao} et al., SIAM J. Numer. Anal. 60, No. 1, 274--311 (2022; Zbl 07714592) Full Text: DOI arXiv
Mohamad, Haidar; Oliver, Marcel Numerical integration of functions of a rapidly rotating phase. (English) Zbl 1500.65008 SIAM J. Numer. Anal. 59, No. 4, 2310-2319 (2021). MSC: 65D30 65D32 33C45 41A55 PDFBibTeX XMLCite \textit{H. Mohamad} and \textit{M. Oliver}, SIAM J. Numer. Anal. 59, No. 4, 2310--2319 (2021; Zbl 1500.65008) Full Text: DOI arXiv
Xiang, Shuhuang Convergence rates on spectral orthogonal projection approximation for functions of algebraic and logarithmatic regularities. (English) Zbl 1465.41003 SIAM J. Numer. Anal. 59, No. 3, 1374-1398 (2021). MSC: 41A10 41A25 41A50 PDFBibTeX XMLCite \textit{S. Xiang}, SIAM J. Numer. Anal. 59, No. 3, 1374--1398 (2021; Zbl 1465.41003) Full Text: DOI arXiv
Glaubitz, Jan Stable high order quadrature rules for scattered data and general weight functions. (English) Zbl 07236289 SIAM J. Numer. Anal. 58, No. 4, 2144-2164 (2020). MSC: 65D30 65D32 41A55 42C05 PDFBibTeX XMLCite \textit{J. Glaubitz}, SIAM J. Numer. Anal. 58, No. 4, 2144--2164 (2020; Zbl 07236289) Full Text: DOI arXiv
Gutleb, Timon S.; Olver, Sheehan A sparse spectral method for Volterra integral equations using orthogonal polynomials on the triangle. (English) Zbl 1447.65171 SIAM J. Numer. Anal. 58, No. 3, 1993-2018 (2020). Reviewer: Marius Ghergu (Dublin) MSC: 65N35 45D05 65R20 PDFBibTeX XMLCite \textit{T. S. Gutleb} and \textit{S. Olver}, SIAM J. Numer. Anal. 58, No. 3, 1993--2018 (2020; Zbl 1447.65171) Full Text: DOI arXiv
Huybrechs, Daan; Kuijlaars, Arno; Lejon, Nele A numerical method for oscillatory integrals with coalescing saddle points. (English) Zbl 1527.65019 SIAM J. Numer. Anal. 57, No. 6, 2707-2729 (2019). MSC: 65D32 41A55 41A60 42C05 PDFBibTeX XMLCite \textit{D. Huybrechs} et al., SIAM J. Numer. Anal. 57, No. 6, 2707--2729 (2019; Zbl 1527.65019) Full Text: DOI arXiv
Area, Iván; Dimitrov, Dimitar K.; Godoy, Eduardo; Paschoa, Vanessa G. Approximate calculation of sums. II: Gaussian type quadrature. (English) Zbl 1343.65021 SIAM J. Numer. Anal. 54, No. 4, 2210-2227 (2016). MSC: 65D30 65H04 PDFBibTeX XMLCite \textit{I. Area} et al., SIAM J. Numer. Anal. 54, No. 4, 2210--2227 (2016; Zbl 1343.65021) Full Text: DOI
Hrivnák, Jiří; Motlochová, Lenka Discrete transforms and orthogonal polynomials of (anti)symmetric multivariate cosine functions. (English) Zbl 1321.42044 SIAM J. Numer. Anal. 52, No. 6, 3021-3055 (2014). Reviewer: Aurelian Bejancu (Safat) MSC: 42B99 42C05 42B10 42A05 41A55 65D32 PDFBibTeX XMLCite \textit{J. Hrivnák} and \textit{L. Motlochová}, SIAM J. Numer. Anal. 52, No. 6, 3021--3055 (2014; Zbl 1321.42044) Full Text: DOI arXiv
Area, Iván; Dimitrov, Dimitar K.; Godoy, Eduardo; Paschoa, Vanessa Approximate calculation of sums. I: Bounds for the zeros of Gram polynomials. (English) Zbl 1311.33006 SIAM J. Numer. Anal. 52, No. 4, 1867-1886 (2014). Reviewer: M. Abdessadek Saib (Lyon) MSC: 33C45 26C10 65D30 PDFBibTeX XMLCite \textit{I. Area} et al., SIAM J. Numer. Anal. 52, No. 4, 1867--1886 (2014; Zbl 1311.33006) Full Text: DOI
Zhao, Xiaodan; Wang, Li-Lian; Xie, Ziqing Sharp error bounds for Jacobi expansions and Gegenbauer-Gauss quadrature of analytic functions. (English) Zbl 1276.65017 SIAM J. Numer. Anal. 51, No. 3, 1443-1469 (2013). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65E05 41A55 65D32 33C45 PDFBibTeX XMLCite \textit{X. Zhao} et al., SIAM J. Numer. Anal. 51, No. 3, 1443--1469 (2013; Zbl 1276.65017) Full Text: DOI arXiv
Barrio, Roberto; Jiang, Hao; Serrano, Sergio A general condition number for polynomials. (English) Zbl 1273.65036 SIAM J. Numer. Anal. 51, No. 2, 1280-1294 (2013). Reviewer: Kai Diethelm (Braunschweig) MSC: 65D20 41A10 65G50 PDFBibTeX XMLCite \textit{R. Barrio} et al., SIAM J. Numer. Anal. 51, No. 2, 1280--1294 (2013; Zbl 1273.65036) Full Text: DOI Link
Zhang, Zhimin Superconvergence points of polynomial spectral interpolation. (English) Zbl 1262.65020 SIAM J. Numer. Anal. 50, No. 6, 2966-2985 (2012). Reviewer: Martin D. Buhmann (Gießen) MSC: 65D05 41A05 41A10 33C45 PDFBibTeX XMLCite \textit{Z. Zhang}, SIAM J. Numer. Anal. 50, No. 6, 2966--2985 (2012; Zbl 1262.65020) Full Text: DOI arXiv
Pachón, Ricardo; Gonnet, Pedro; Van Deun, Joris Fast and stable rational interpolation in roots of unity and Chebyshev points. (English) Zbl 1252.41005 SIAM J. Numer. Anal. 50, No. 3, 1713-1734 (2012). Reviewer: H. P. Dikshit (Bhopal) MSC: 41A05 41A20 PDFBibTeX XMLCite \textit{R. Pachón} et al., SIAM J. Numer. Anal. 50, No. 3, 1713--1734 (2012; Zbl 1252.41005) Full Text: DOI Link
Xiang, Shuhuang On error bounds for orthogonal polynomial expansions and Gauss-type quadrature. (English) Zbl 1263.65027 SIAM J. Numer. Anal. 50, No. 3, 1240-1263 (2012). Reviewer: Ana-Maria Acu (Sibiu) MSC: 65D32 65D20 42C05 33C45 33F05 41A55 PDFBibTeX XMLCite \textit{S. Xiang}, SIAM J. Numer. Anal. 50, No. 3, 1240--1263 (2012; Zbl 1263.65027) Full Text: DOI
Cantero, María José; Iserles, Arieh On rapid computation of expansions in ultraspherical polynomials. (English) Zbl 1241.42023 SIAM J. Numer. Anal. 50, No. 1, 307-327 (2012). Reviewer: Manfred Tasche (Rostock) MSC: 42C10 33C45 65T50 PDFBibTeX XMLCite \textit{M. J. Cantero} and \textit{A. Iserles}, SIAM J. Numer. Anal. 50, No. 1, 307--327 (2012; Zbl 1241.42023) Full Text: DOI Link
Hagler, Brian A. Optimizing Gaussian quadrature for positive definite strong moment functionals. (English) Zbl 1232.65046 SIAM J. Numer. Anal. 49, No. 3, 1111-1126 (2011). Reviewer: Ana-Maria Acu (Sibiu) MSC: 65D32 41A20 42C05 41A55 PDFBibTeX XMLCite \textit{B. A. Hagler}, SIAM J. Numer. Anal. 49, No. 3, 1111--1126 (2011; Zbl 1232.65046) Full Text: DOI Link
Xiang, Xin-Min; Wang, Zhong-Qing Generalized Hermite spectral method and its applications to problems in unbounded domains. (English) Zbl 1219.33010 SIAM J. Numer. Anal. 48, No. 4, 1231-1253 (2010). Reviewer: Jacek Gilewicz (Marseille) MSC: 33C45 76M22 65M12 PDFBibTeX XMLCite \textit{X.-M. Xiang} and \textit{Z.-Q. Wang}, SIAM J. Numer. Anal. 48, No. 4, 1231--1253 (2010; Zbl 1219.33010) Full Text: DOI
Shen, Jie; Wang, Li-Lian Sparse spectral approximations of high-dimensional problems based on hyperbolic cross. (English) Zbl 1215.65179 SIAM J. Numer. Anal. 48, No. 3, 1087-1109 (2010). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65N35 65N22 65F05 65N15 PDFBibTeX XMLCite \textit{J. Shen} and \textit{L.-L. Wang}, SIAM J. Numer. Anal. 48, No. 3, 1087--1109 (2010; Zbl 1215.65179) Full Text: DOI
Huybrechs, Daan On the Fourier extension of nonperiodic functions. (English) Zbl 1209.65153 SIAM J. Numer. Anal. 47, No. 6, 4326-4355 (2010). Reviewer: Manfred Tasche (Rostock) MSC: 65T40 42A10 42C05 65D32 PDFBibTeX XMLCite \textit{D. Huybrechs}, SIAM J. Numer. Anal. 47, No. 6, 4326--4355 (2010; Zbl 1209.65153) Full Text: DOI
Peherstorfer, Franz Gauss-Turán quadrature formulas: Asymptotics of weights. (English) Zbl 1204.65028 SIAM J. Numer. Anal. 47, No. 4, 2638-2659 (2009). Reviewer: Dumitru Acu (Sibiu) MSC: 65D32 41A55 42C05 PDFBibTeX XMLCite \textit{F. Peherstorfer}, SIAM J. Numer. Anal. 47, No. 4, 2638--2659 (2009; Zbl 1204.65028) Full Text: DOI
Anitescu, Mihai Spectral finite-element methods for parametric constrained optimization problems. (English) Zbl 1193.65095 SIAM J. Numer. Anal. 47, No. 3, 1739-1759 (2009). Reviewer: Karel Zimmermann (Praha) MSC: 65K05 42C05 PDFBibTeX XMLCite \textit{M. Anitescu}, SIAM J. Numer. Anal. 47, No. 3, 1739--1759 (2009; Zbl 1193.65095) Full Text: DOI
Huybrechs, Daan; Cools, Ronald On generalized Gaussian quadrature rules for singular and nearly singular integrals. (English) Zbl 1190.65038 SIAM J. Numer. Anal. 47, No. 1, 719-739 (2009). Reviewer: Dan Bārbosu (Baia Mare) MSC: 65D32 41A55 41A63 PDFBibTeX XMLCite \textit{D. Huybrechs} and \textit{R. Cools}, SIAM J. Numer. Anal. 47, No. 1, 719--739 (2009; Zbl 1190.65038) Full Text: DOI Link
Li, Huiyuan; Sun, Jiachang; Xu, Yuan Discrete Fourier analysis, cubature, and interpolation on a hexagon and a triangle. (English) Zbl 1179.41002 SIAM J. Numer. Anal. 46, No. 4, 1653-1681 (2008). Reviewer: Alexei Lukashov (Istanbul) MSC: 41A05 41A63 42B05 41A55 65D32 PDFBibTeX XMLCite \textit{H. Li} et al., SIAM J. Numer. Anal. 46, No. 4, 1653--1681 (2008; Zbl 1179.41002) Full Text: DOI arXiv
Dick, Josef Walsh spaces containing smooth functions and quasi-Monte Carlo rules of arbitrary high order. (English) Zbl 1189.42012 SIAM J. Numer. Anal. 46, No. 3, 1519-1553 (2008). Reviewer: Benjamin Doerr (Saarbrücken) MSC: 42C10 11K45 65C05 11K38 PDFBibTeX XMLCite \textit{J. Dick}, SIAM J. Numer. Anal. 46, No. 3, 1519--1553 (2008; Zbl 1189.42012) Full Text: DOI arXiv
Aguirre, Julián; Rivas, Judith A spectral viscosity method based on Hermite functions for nonlinear conservation laws. (English) Zbl 1165.33006 SIAM J. Numer. Anal. 46, No. 2, 1060-1078 (2008). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 33C45 65M70 35L65 PDFBibTeX XMLCite \textit{J. Aguirre} and \textit{J. Rivas}, SIAM J. Numer. Anal. 46, No. 2, 1060--1078 (2008; Zbl 1165.33006) Full Text: DOI Link
Dick, Josef Explicit constructions of quasi-Monte Carlo rules for the numerical integration of high-dimensional periodic functions. (English) Zbl 1158.65007 SIAM J. Numer. Anal. 45, No. 5, 2141-2176 (2007). Reviewer: Christian Lecot (Le Bourget-du-Lac) MSC: 65C05 11K45 42C10 11K38 65D32 46E22 PDFBibTeX XMLCite \textit{J. Dick}, SIAM J. Numer. Anal. 45, No. 5, 2141--2176 (2007; Zbl 1158.65007) Full Text: DOI arXiv
La Calle Ysern, B. De; Peherstorfer, F. Ultraspherical Stieltjes polynomials and Gauss-Kronrod quadrature behave nicely for \(\lambda< 0\). (English) Zbl 1141.33003 SIAM J. Numer. Anal. 45, No. 2, 770-786 (2007). Reviewer: Leonid Golinskii (Kharkov) MSC: 33C45 42C05 65D32 PDFBibTeX XMLCite \textit{B. De La Calle Ysern} and \textit{F. Peherstorfer}, SIAM J. Numer. Anal. 45, No. 2, 770--786 (2007; Zbl 1141.33003) Full Text: DOI
Guo, Ben-Yu; Wang, Li-Lian; Wang, Zhong-Qing Generalized Laguerre interpolation and pseudospectral method for unbounded domains. (English) Zbl 1116.41002 SIAM J. Numer. Anal. 43, No. 6, 2567-2589 (2006). MSC: 41A05 65N35 33C45 PDFBibTeX XMLCite \textit{B.-Y. Guo} et al., SIAM J. Numer. Anal. 43, No. 6, 2567--2589 (2006; Zbl 1116.41002) Full Text: DOI
Shen, Jie; Wang, Li-Lian Error analysis for mapped Legendre spectral and pseudospectral methods. (English) Zbl 1085.65103 SIAM J. Numer. Anal. 42, No. 1, 326-349 (2004). Reviewer: Kai Schneider (Marseille) MSC: 65N15 65N35 65N50 35J25 PDFBibTeX XMLCite \textit{J. Shen} and \textit{L.-L. Wang}, SIAM J. Numer. Anal. 42, No. 1, 326--349 (2004; Zbl 1085.65103) Full Text: DOI
Ball, James S. Half-range generalized Hermite polynomials and the related Gaussian quadratures. (English) Zbl 1058.41021 SIAM J. Numer. Anal. 40, No. 6, 2311-2317 (2003). Reviewer: Yusuf Avci (Ýstanbul) MSC: 41A55 46N40 65Q05 68U01 PDFBibTeX XMLCite \textit{J. S. Ball}, SIAM J. Numer. Anal. 40, No. 6, 2311--2317 (2003; Zbl 1058.41021) Full Text: DOI
Peherstorfer, Franz; Petras, Knut Ultraspherical Gauss–Kronrod quadrature is not possible for \(\lambda > 3\). (English) Zbl 0947.33003 SIAM J. Numer. Anal. 37, No. 3, 927-948 (2000). Reviewer: Som Prakash Goyal (Jaipur) MSC: 33C10 33C45 42C05 65D32 PDFBibTeX XMLCite \textit{F. Peherstorfer} and \textit{K. Petras}, SIAM J. Numer. Anal. 37, No. 3, 927--948 (2000; Zbl 0947.33003) Full Text: DOI
Gottlieb, David; Shu, Chi-Wang On the Gibbs phenomenon. III: Recovering exponential accuracy in a sub-interval from a spectral partial sum of a piecewise analytic function. (English) Zbl 0852.42017 SIAM J. Numer. Anal. 33, No. 1, 280-290 (1996). Reviewer: L.Gatteschi (Torino) MSC: 42C10 33C45 PDFBibTeX XMLCite \textit{D. Gottlieb} and \textit{C.-W. Shu}, SIAM J. Numer. Anal. 33, No. 1, 280--290 (1996; Zbl 0852.42017) Full Text: DOI
Candela, Vicente F. Computation of shift operators in orthonormal compactly supported wavelet bases. (English) Zbl 0821.65095 SIAM J. Numer. Anal. 31, No. 3, 768-787 (1994). Reviewer: M.Tasche (Rostock) MSC: 65T40 42C05 PDFBibTeX XMLCite \textit{V. F. Candela}, SIAM J. Numer. Anal. 31, No. 3, 768--787 (1994; Zbl 0821.65095) Full Text: DOI
Notaris, Sotirios E. Some new formulae for the Stieltjes polynomials relative to classical weight functions. (English) Zbl 0738.41015 SIAM J. Numer. Anal. 28, No. 4, 1196-1206 (1991). MSC: 41A10 33C45 65D32 PDFBibTeX XMLCite \textit{S. E. Notaris}, SIAM J. Numer. Anal. 28, No. 4, 1196--1206 (1991; Zbl 0738.41015) Full Text: DOI
Cope, Davis K. Convergence of Piessens’ method for numerical inversion of the Laplace transform on the real line. (English) Zbl 0716.65113 SIAM J. Numer. Anal. 27, No. 5, 1345-1354 (1990). Reviewer: P.Polcar MSC: 65R10 65R30 44A10 PDFBibTeX XMLCite \textit{D. K. Cope}, SIAM J. Numer. Anal. 27, No. 5, 1345--1354 (1990; Zbl 0716.65113) Full Text: DOI
Phillips, Timothy N.; Karageorghis, Andreas On the coefficients of integrated expansions of ultraspherical polynomials. (English) Zbl 0701.33007 SIAM J. Numer. Anal. 27, No. 3, 823-830 (1990). Reviewer: M.Idemen MSC: 33C45 65L10 PDFBibTeX XMLCite \textit{T. N. Phillips} and \textit{A. Karageorghis}, SIAM J. Numer. Anal. 27, No. 3, 823--830 (1990; Zbl 0701.33007) Full Text: DOI
Vincenti, Graziano On the computation of the coefficients of s-orthogonal polynomials. (English) Zbl 0632.65014 SIAM J. Numer. Anal. 23, 1290-1294 (1986). Reviewer: Y.Kobayashi MSC: 65D20 65D15 33C45 41A10 26C10 PDFBibTeX XMLCite \textit{G. Vincenti}, SIAM J. Numer. Anal. 23, 1290--1294 (1986; Zbl 0632.65014) Full Text: DOI
Hawkins, W. G.; Barrett, H. H. A numerically stable circular harmonic reconstruction algorithm. (English) Zbl 0616.65138 SIAM J. Numer. Anal. 23, 873-890 (1986). Reviewer: F.Natterer MSC: 65R10 65R20 44A15 42A16 45E10 33C45 PDFBibTeX XMLCite \textit{W. G. Hawkins} and \textit{H. H. Barrett}, SIAM J. Numer. Anal. 23, 873--890 (1986; Zbl 0616.65138) Full Text: DOI
Tadmor, Eitan The exponential accuracy of Fourier and Chebyshev differencing methods. (English) Zbl 0613.65017 SIAM J. Numer. Anal. 23, 1-10 (1986). Reviewer: P.Narain MSC: 65D25 42A20 33C45 65B99 PDFBibTeX XMLCite \textit{E. Tadmor}, SIAM J. Numer. Anal. 23, 1--10 (1986; Zbl 0613.65017) Full Text: DOI
Elliott, David Rates of convergence for the method of classical collocation for solving singular integral equations. (English) Zbl 0549.65092 SIAM J. Numer. Anal. 21, 136-148 (1984). Reviewer: M.Schleiff MSC: 65R20 45E05 PDFBibTeX XMLCite \textit{D. Elliott}, SIAM J. Numer. Anal. 21, 136--148 (1984; Zbl 0549.65092) Full Text: DOI
Saad, Youcef Iterative solution of indefinite symmetric linear systems by methods using orthogonal polynomials over two disjoint intervals. (English) Zbl 0547.65028 SIAM J. Numer. Anal. 20, 784-811 (1983). Reviewer: M.Sussman MSC: 65F10 65F15 33C45 PDFBibTeX XMLCite \textit{Y. Saad}, SIAM J. Numer. Anal. 20, 784--811 (1983; Zbl 0547.65028) Full Text: DOI
Ioakimidis, N. I. On the weighted Galerkin method of numerical solution of Cauchy type singular integral equations. (English) Zbl 0518.65098 SIAM J. Numer. Anal. 18, 1120-1127 (1981). MSC: 65R20 45E05 PDFBibTeX XMLCite \textit{N. I. Ioakimidis}, SIAM J. Numer. Anal. 18, 1120--1127 (1981; Zbl 0518.65098) Full Text: DOI
Burley, S. K.; John, S. O.; Nuttall, J. Vector orthogonal polynomials. (English) Zbl 0487.41020 SIAM J. Numer. Anal. 18, 919-924 (1981). MSC: 41A21 42C05 41A28 41A20 65D15 PDFBibTeX XMLCite \textit{S. K. Burley} et al., SIAM J. Numer. Anal. 18, 919--924 (1981; Zbl 0487.41020) Full Text: DOI
Price, Thomas E. jun. Orthogonal polynomials for nonclassical weight functions. (English) Zbl 0426.65008 SIAM J. Numer. Anal. 16, 999-1006 (1979). MSC: 65D20 33C45 PDFBibTeX XMLCite \textit{T. E. Price jun.}, SIAM J. Numer. Anal. 16, 999--1006 (1979; Zbl 0426.65008) Full Text: DOI
Haegemans, Ann; Piessens, Robert Construction of cubature formulas of degree seven and nine symmetric planar regions, using orthogonal polynomials. (English) Zbl 0365.65015 SIAM J. Numer. Anal. 14, 492-508 (1977). MSC: 65D30 33C45 PDFBibTeX XMLCite \textit{A. Haegemans} and \textit{R. Piessens}, SIAM J. Numer. Anal. 14, 492--508 (1977; Zbl 0365.65015) Full Text: DOI
Chawla, M. M.; Ramakrishnan, T. R. Minimum variance approximate formulas. (English) Zbl 0319.41004 SIAM J. Numer. Anal. 13, 113-128 (1976). MSC: 41A05 42C05 65D25 65D30 PDFBibTeX XMLCite \textit{M. M. Chawla} and \textit{T. R. Ramakrishnan}, SIAM J. Numer. Anal. 13, 113--128 (1976; Zbl 0319.41004) Full Text: DOI
Günther, C. Third degree integration formulas with four real points and positive weights in two dimensions. (English) Zbl 0295.65020 SIAM J. Numer. Anal. 11, 480-493 (1974). MSC: 65D30 41A55 42C05 PDFBibTeX XMLCite \textit{C. Günther}, SIAM J. Numer. Anal. 11, 480--493 (1974; Zbl 0295.65020) Full Text: DOI
Prasad, J.; Hayashi, H. On the uniform convergence of Fourier-Jacobi series. (English) Zbl 0256.42015 SIAM J. Numer. Anal. 10, 23-27 (1973). Reviewer: J. Prasad MSC: 42C10 PDFBibTeX XMLCite \textit{J. Prasad} and \textit{H. Hayashi}, SIAM J. Numer. Anal. 10, 23--27 (1973; Zbl 0256.42015) Full Text: DOI
Franke, Richard Orthogonal polynomials and approximate multiple integration. (English) Zbl 0209.46901 SIAM J. Numer. Anal. 8, 757-766 (1971). Reviewer: Richard Franke MSC: 65D30 PDFBibTeX XMLCite \textit{R. Franke}, SIAM J. Numer. Anal. 8, 757--766 (1971; Zbl 0209.46901) Full Text: DOI